755 prompts matching "The change of base formula for logarithms"
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Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Spot My Mistake: Testing (a*b)*c against a*(b*c)
Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c
Show All Working: An operation that is associative but not commutative
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Final Revision: Why brackets matter when an operation is not associative
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Quiz: Left distributivity and right distributivity
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Spot My Mistake: Checking distributivity from two operation tables
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Show All Working: Using distributivity to simplify an expression
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Practice: Why an identity element must work from both sides
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Show All Working: An element with no inverse under a given operation
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Show All Working: Simplifying an expression with letters and indices
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Practice: A fractional index with numerator one, read as a root
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Spot My Mistake: A negative fractional index
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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Show All Working: A word problem that leads to an indicial equation
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Common Mistakes: An indicial equation solved by substitution
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Final Revision: Checking an indicial solution by substitution
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